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Title Mathematics applied to engineering, modelling, and social issues / editors, Frank T. Smith, Hemen Dutta and John N. Mordeson
Published Cham, Switzerland : Springer, [2019]


Description 1 online resource (xv, 699 pages)
Series Studies in systems, decision and control ; Volume 200
Studies in systems, decision and control ; v. 200.
Contents Intro; Preface; Contents; Contributors; On the Reynolds Equation and the Load Problem in Lubrication: Literature Review and Mathematical Modelling; 1 On the Beginning of the Theory of Hydrodynamic Lubrication; 2 On Misalignment and Cavitation in Journal Bearings; 3 The Inverse Problem. Its Numerical Resolution; 4 Other Topics; 5 Fluid Film Thickness; 5.1 Parallel Case; 5.2 Misaligned Case; 6 Derivation of the Reynolds Equation; 7 The Reynolds Cavitation Model; 7.1 The Non-dimensional Reynolds Cavitation Model; 8 Derivation of the Generalized Reynolds Equation
9 Simplifications to the GRE for Journal Bearings9.1 The Non-dimensional GRE for Journal Bearings; 10 The Elrod-Adams Cavitation Model; 10.1 Deduction of the Flow Continuity Condition Through the Free Boundary; 11 Weak Formulation of the Elrod-Adams Cavitation Model; 12 Shaft Stationary Model; References; On Dynamic Interactions Between Body Motion and Fluid Motion; 1 Introduction; 2 The Models; 2.1 Bodies in a Channel Flow; 2.2 A Skimming Body; 2.3 Pre-liftoff of a Body From a Solid Surface; 2.4 Viscous-Inviscid Effects; 3 Skimming by a Smooth Body; 3.1 Impact Model
3.2 Linearised Impact Model and Rapid Transition to Planing Motion3.3 Planing Model; 3.4 Linearised Planing Model; 4 Post-liftoff and Fly-Away of a Body from a Surface; 4.1 Governing Equations and the Parameters; 4.2 Small-Time Behaviour; 4.3 Lift-Off Criterion; 4.4 Large-Time Behaviour; 4.5 Summary; 5 Many Bodies in Slightly Viscous Fluid; 5.1 A Single Plate; 5.2 A Finite Collection of Plates; 5.3 The Case of Two Plates; 6 Further Comments; References; Certain Aspects of Problems with Non Homogeneous Reactions; 1 Introduction; 2 Steady Problems; 3 Evolution Problems
3.1 Lyapunov Functions and Stability4 A Particular Type of Solution: Traveling Waves; 5 A Particular Planar System from Chemical Reactors; 6 Final Comments; References; A Survey on the Melnikov Theory for Implicit Ordinary Differential Equations with Applications to RLC Circuits; 1 Introduction; 2 Nonlinear RLC Circuits: Homoclinic Case; 3 Nonlinear RLC Circuits: Heteroclinic Case; 4 Weakly Coupled Nonlinear RLC Circuits; 5 General Dimensional IODEs; 6 Blue Sky-Like Catastrophe for Reversible IODEs; 7 Connecting IK Singularities and Impasse Points
7.1 Connecting Impasse Points with IK-singularities7.2 Connecting Two Impasse Points; 7.3 Fully Nonlinear RLC Circuits; 8 Conclusions; References; Numerical Solution of Space-Time- Fractional Reaction-Diffusion Equations via the Caputo and Riesz Derivatives; 1 Introduction; 2 Basic Properties and Definitions of Fractional Calculus; 3 The Caputo and Riesz Fractional Derivatives Approximation; 3.1 The Matrix Method; 3.2 The Caputo Derivative Approximation; 3.3 The Riesz Derivative Approximation; 3.4 Two-Dimensional Solution with Laplace and Fourier Transforms; 4 Numerical Experiments
Summary This book presents several aspects of research on mathematics that have significant applications in engineering, modelling and social matters, discussing a number of current and future social issues and problems in which mathematical tools can be beneficial. Each chapter enhances our understanding of the research problems in a particular an area of study and highlights the latest advances made in that area. The self-contained contributions make the results and problems discussed accessible to readers, and provides references to enable those interested to follow subsequent studies in still developing fields. Presenting real-world applications, the book is a valuable resource for graduate students, researchers and educators. It appeals to general readers curious about the practical applications of mathematics in diverse scientific areas and social problems
Bibliography Includes bibliographical references
Notes Print version record
Subject Engineering mathematics.
Engineering mathematics -- Social aspects
TECHNOLOGY & ENGINEERING -- Engineering (General)
Engineering mathematics
Form Electronic book
Author Smith, F. T. (Frank T.), 1948- editor.
Dutta, Hemen, 1981- editor.
Mordeson, John N., editor.
ISBN 9783030122324